What is the smallest number that can be subtracted from 40658to make it divisible by 11

Answer 1

To make a number divisible by 11, the difference between the sum of its digits at odd positions and the sum of its digits at even positions must be divisible by 11.

For the number 40658, the sum of the digits at odd positions is 4 + 6 + 8 = 18, and the sum of the digits at even positions is 0 + 5 = 5.

Therefore, the difference between these sums is 18 - 5 = 13, which is not divisible by 11.

To make it divisible by 11, we need to subtract a number from 40658 to reduce this difference.

The smallest number that can be subtracted from 40658 to make it divisible by 11 is 2.

40658 - 2 = 40656

The sum of the digits at odd positions is 4 + 6 + 6 = 16, and the sum of the digits at even positions is 0 + 5 = 5.

The difference between these sums is 16 - 5 = 11, which is divisible by 11.

Therefore, 40656 is divisible by 11.